4201041412100 has 72 divisors (see below), whose sum is σ = 9823260411720. Its totient is φ = 1550245294080.

The previous prime is 4201041412093. The next prime is 4201041412147. The reversal of 4201041412100 is 12141401024.

It can be written as a sum of positive squares in 12 ways, for example, as 2989109041216 + 1211932370884 = 1728904^2 + 1100878^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276244 + ... + 3167156.

It is an arithmetic number, because the mean of its divisors is an integer number (136434172385).

Almost surely, 2^{4201041412100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201041412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911630205860).

4201041412100 is an abundant number, since it is smaller than the sum of its proper divisors (5622218999620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4201041412100 is a wasteful number, since it uses less digits than its factorization.

4201041412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892649 (or 1892642 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4201041412100 its reverse (12141401024), we get a palindrome (4213182813124).

The spelling of 4201041412100 in words is "four trillion, two hundred one billion, forty-one million, four hundred twelve thousand, one hundred".